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Popular >

integral from 2 to 3 of 4-x^2

Solution

\int_{2}^{3} 4 - x^{2} d x

Solution

- \frac{7}{3}

+1

Decimal Notation

- 2.33333 \dots

Solution steps

\int_{2}^{3} 4 - x^{2} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{2}^{3} 4 d x - \int_{2}^{3} x^{2} d x

\int_{2}^{3} 4 d x = 4

\int_{2}^{3} x^{2} d x = \frac{19}{3}

= 4 - \frac{19}{3}

Simplify

4 - \frac{19}{3} : - \frac{7}{3}

= - \frac{7}{3}

Popular Examples

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\int_{- 1}^{1} x^{2} - x d x

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\int_{1}^{2} \frac{1}{x + 1} d x

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\int_{0}^{1} \frac{e ^{z} + 7}{e ^{z} + 7 z} d z

integral from 0 to 2 of 1/(sqrt(2x-x^2))

\int_{0}^{2} \frac{1}{2 x - x ^{2}} d x

integral from 0 to 2 of pix

\int_{0}^{2} π x d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of 4-x^2 ?
The integral from 2 to 3 of 4-x^2 is -7/3